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Finding the Third Proportional to 727,086,256 and 1,151,500,098

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Solution

The third proportional to 727,086,256 and 1,151,500,098 is: 1,823,652,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,086,256 : 1,151,500,098 = 1,151,500,098 : x
  2. Step 2: Convert to fraction form
    727,086,256/1,151,500,098 = 1,151,500,098/x
  3. Step 3: Cross multiply
    727,086,256x = 1,151,500,098 × 1,151,500,098
  4. Step 4: Simplify right side
    727,086,256x = 1,325,952,475,694,009,600
  5. Step 5: Solve for x
    x = 1,325,952,475,694,009,600/727,086,256
  6. Step 6: Final answer
    x = 1,823,652,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.